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Finding the Fourth Proportional to 8,230.85, 12,350.03 and 3,488.31

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Solution

The fourth proportional to 8,230.85, 12,350.03 and 3,488.31 is: 5,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.85 : 12,350.03 = 3,488.31 : x
  2. Step 2: Convert to fraction form
    8,230.85/12,350.03 = 3,488.31/x
  3. Step 3: Cross multiply
    8,230.85x = 12,350.03 × 3,488.31
  4. Step 4: Simplify right side
    8,230.85x = 43,080,742.89
  5. Step 5: Solve for x
    x = 43,080,742.89/8,230.85
  6. Step 6: Final answer
    x = 5,234.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.